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Finding the Fourth Proportional to 5,754.80, 8,626.44 and 2,835.20

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Solution

The fourth proportional to 5,754.80, 8,626.44 and 2,835.20 is: 4,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.80 : 8,626.44 = 2,835.20 : x
  2. Step 2: Convert to fraction form
    5,754.80/8,626.44 = 2,835.20/x
  3. Step 3: Cross multiply
    5,754.80x = 8,626.44 × 2,835.20
  4. Step 4: Simplify right side
    5,754.80x = 24,457,682.69
  5. Step 5: Solve for x
    x = 24,457,682.69/5,754.80
  6. Step 6: Final answer
    x = 4,249.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.